A New Numerical Approach of MHD Flow with Heat and Mass Transfer for the UCM Fluid over a Stretching Surface in the Presence of Thermal Radiation

S Shateyi,G T Marewo

doi:10.1155/2013/670205

Abstract

This paper numerically investigates the magnetohydrodynamic boundary layer flow with heat and mass transfer of an incompressible upper-convected Maxwell fluid over a stretching sheet in the presence of viscous dissipation and thermal radiation as well as chemical reaction. The governing partial differential equations are transformed into a system of ordinary differential equations by using suitable similarity transformations. The resultant highly nonlinear ordinary differential equations are then solved using spectral relaxation method. The results are obtained for velocity, temperature, concentration, skin friction, and Nusselt number. The effects of various material parameters on the flow with heat and mass transfer and the dimensionless variables are illustrated graphically and briefly discussed.

Highlights

In the past few decades, the studies of boundary layer flows of Newtonian and non-Newtonian fluids of stretching surfaces have received great attention by virtue of their numerous applications in the fields of metallurgy, chemical engineering, and biological systems
The aim of this study is to investigate the effects of thermal radiation and viscous dissipation on steady MHD flow with heat and mass transfer of an upper-convected Maxwell fluid past a stretching sheet in the presence of a chemical reaction
Numerical results are presented in tabular/graphical form to elucidate the details of flow with heat and mass transfer characteristics and their dependence on the various physical parameters

Summary

Introduction

In the past few decades, the studies of boundary layer flows of Newtonian and non-Newtonian fluids of stretching surfaces have received great attention by virtue of their numerous applications in the fields of metallurgy, chemical engineering, and biological systems. These applications include geothermal reservoirs, wire and fiber coating, food stuff processing, reactor fluidization, transpiration cooling, enhanced oil recovery, packed bed catalytic reactors, and cooling of nuclear reactors. Sakiadis [1, 2] did pioneering work on boundary layer flow on a continuously moving surface. After that many investigators discussed various aspects of the stretching flow problem (see, e.g., Chiam [3], Crane [4], Liao and Pop [5], Khan and Sanjayanand [6], Abel and Mahesha [7], and Fang et al [8], among others)

Objectives

Methods

Results

Conclusion